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Finding the Third Proportional to 80,528 and 109,352

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Solution

The third proportional to 80,528 and 109,352 is: 148,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,528 : 109,352 = 109,352 : x
  2. Step 2: Convert to fraction form
    80,528/109,352 = 109,352/x
  3. Step 3: Cross multiply
    80,528x = 109,352 × 109,352
  4. Step 4: Simplify right side
    80,528x = 11,957,859,904
  5. Step 5: Solve for x
    x = 11,957,859,904/80,528
  6. Step 6: Final answer
    x = 148,493.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.